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Simplifying 4[x + -3] = 5[x + 4] Reorder the terms: 4[-3 + x] = 5[x + 4] [-3 * 4 + x * 4] = 5[x + 4] [-12 + 4x] = 5[x + 4] Reorder the terms: -12 + 4x = 5[4 + x] -12 + 4x = [4 * 5 + x * 5] -12 + 4x = [20 + 5x] Solving -12 + 4x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 4x + -5x = 20 + 5x + -5x Combine like terms: 4x + -5x = -1x -12 + -1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -1x = 20 + 0 -12 + -1x = 20 Add '12' to each side of the equation. -12 + 12 + -1x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 20 + 12 -1x = 20 + 12 Combine like terms: 20 + 12 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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